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1989489600 = 26355271743
BaseRepresentation
bin111011010010101…
…0011001111000000
312010122120112200000
41312211103033000
513033302131400
6525225400000
7100205245140
oct16645231700
95118515600
101989489600
11931018a8a
12476339000
132592373a7
1414c320920
15b99d8600
hex769533c0

1989489600 has 1008 divisors, whose sum is σ = 9079918848. Its totient is φ = 418037760.

The previous prime is 1989489587. The next prime is 1989489611. The reversal of 1989489600 is 69849891.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 46267179 + ... + 46267221.

It is an arithmetic number, because the mean of its divisors is an integer number (9007856).

Almost surely, 21989489600 is an apocalyptic number.

1989489600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1989489600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4539959424).

1989489600 is an abundant number, since it is smaller than the sum of its proper divisors (7090429248).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1989489600 is a wasteful number, since it uses less digits than its factorization.

1989489600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 54.

The square root of 1989489600 is about 44603.6949142109. The cubic root of 1989489600 is about 1257.7101267117.

The spelling of 1989489600 in words is "one billion, nine hundred eighty-nine million, four hundred eighty-nine thousand, six hundred".